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Finding the Fourth Proportional to 442,937.72, 664,512.42 and 143,418.64

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Solution

The fourth proportional to 442,937.72, 664,512.42 and 143,418.64 is: 215,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,937.72 : 664,512.42 = 143,418.64 : x
  2. Step 2: Convert to fraction form
    442,937.72/664,512.42 = 143,418.64/x
  3. Step 3: Cross multiply
    442,937.72x = 664,512.42 × 143,418.64
  4. Step 4: Simplify right side
    442,937.72x = 95,303,464,216.95
  5. Step 5: Solve for x
    x = 95,303,464,216.95/442,937.72
  6. Step 6: Final answer
    x = 215,162.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.